The length of a rectangle is 15 inches more than twice the width. if the perimeter is 54 inches, find the dimensions (p = 2l + 2w)

Answers

Answer 1

Answer:

length = 23 inches , width = 4 inches

Step-by-step explanation:

let width be w then length l = 2w + 15

the perimeter P is calculated as

P = 2l + 2w

given P = 54 , then

2(2w + 15) + 2w = 54

4w + 30 + 2w = 54

6w + 30 = 54 ( subtract 30 from both sides )

6w = 24 ( divide both sides by 6 )

w = 4

l = 2w + 15 = 2(4) + 15 = 8 + 15 = 23

the length is 23 inches and width is 4 inches


Related Questions

In the diagram of circle P, mXYZ is 72. What is the value of x

Answers

Answer:

108°

Step-by-step explanation:

Mr Adi types up a short story.
It takes him 9 minutes to finish typing up the story at an average of 40
words per minute.
Mr Blade also types up the same story.
He takes 12 minutes to type it.
Work out Mr Blade's average number of words per minute.
...... words per minute

Answers

The average rate at which Mr. Blade types is 30 words per minute.

Average or mean is a measure of central tendency where it defines the central number of a data set.

Average is calculated by dividing the total sum of the values of the dat set divided by the frequency or the number of data in the set.

Mr. Adi takes 9 minutes.

The average rate of Mr. Adi is 40 words per minute.

So in 9 minutes he writes 40 × 9 = 360 words in total.

Mr. Blade typed the same number of words.

he took 12 minutes to type it.

So average rate = total words typed ÷ time taken (in minutes)

Average rate= 360 ÷ 12 =30 words per minute.

Hence Mr. Blade writes at the average rate of 30 words per minute.

To learn more about average rate visit:

https://brainly.com/question/23715190

#SPJ9


What is an equation for the translation of y=2/x that has asymptotes at x=3 and y=-5 ?
(A) y=2/x-3 -5 (B) y=2/x+3+5 (C) y=2/x+5-3 (D) y=2/x-5+3

Answers

Correct option is A. Equation for the translation of y=2/x that has asymptotes at x=3 and y=-5  is y=2/x-3 -5.

Why do we use asymptotes?

A curve's asymptote is the point at which the curve converges. In other words, despite being endlessly near, the curve and its asymptote never collide. Asymptotes are utilized in big O notation, are straightforward approximations to complicated equations, and are helpful for charting rational equations, among other uses.

Typically, the limit of a value when the function is not specified can be used to determine the asymptote(s) of a curve. Examples of such points include and as well as the location where the numerator of a rational function equals zero.

Given,

y = 2/x

asymptotes at x=3 and y=-5

⇒ denominator is (x-3)

y = -5 is highest degree of the equation.

⇒ The equation will be y=2/x-3 -5.

To learn more about Asymptotes from given link

https://brainly.com/question/4138300

#SPJ4

m∠ABC=(6x+8)° and m∠DEF=(12x−8)°. If ∠ABC and ∠DEF are supplementary, what is the measure of each angle?

A) m∠ABC = 68°; m∠DEF = 122°
B) m∠ABC = 47°; m∠DEF = 122°
C) m∠ABC = 47°; m∠DEF = 112°
D) m∠ABC = 68°; m∠DEF = 112°

Answers

Answer:

d is the correct answer

Step-by-step explanation:

m∠ABC = 68°; m∠DEF = 112°

Answer:

D is correct

Step-by-step explanation:

Supplemental angles add to 180

6x + 8 + 12x -8 = 180  Combine line terms

18x = 180  Divide both sides by 18

x  = 10

Substitute 10 in for x

ABC

6x + 8

6(10) + 8

60 + 8

68

DEF

12x - 8

12(10) - 8

120 - 8

112

What Is 30332 Times 98663

Answers

Answer:

2,992,646,116

Step-by-step explanation:

I am big brain

Answer:

2992646116

Step-by-step explanation:

multiply starting with 98663

how do i solve -4x+10>5x+55

Answers

Answer:

x<-5

Step-by-step explanation:

Please help with problem 24, Algebra 1 question, question in the attachments

Answers

Let [tex]x[/tex] be the "given angle" mentioned here. Then its complement indeed has measure [tex]90-x[/tex], and its supplement [tex]180-x[/tex].

Now translate the following sentence into an equation:

"The supplement of a given angle is 10° more than twice its complement."

[tex]\implies 180 - x = 10 + 2 (90 - x)[/tex]

Solve for [tex]x[/tex].

[tex]180 - x = 10 + (180 - 2x)[/tex]

[tex]180 - x = 190 - 2x[/tex]

[tex]2x - x = 190 - 180[/tex]

[tex]\boxed{x = 10}[/tex]

Four years ago, Jennifer opened a saving account that earns 5% simple interest every year. She started the account with $650 and has not been touched the account since.

Answers

Answer:

$780

Step-by-step explanation:

Simple Interest Formula

[tex]\boxed{\sf A = P(1 + rt)}[/tex]

where:

A = Final amount.P = Principal amount invested.r = Interest rate (in decimal form).t = Time (in years).

Given:

P = $650r = 5% = 0.05t = 4 years

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=650(1+0.05(4))[/tex]

[tex]\implies \sf A=650(1+0.2)[/tex]

[tex]\implies \sf A=650(1.2)[/tex]

[tex]\implies \sf A=780[/tex]

Therefore, the amount in the account now is $780.

Learn more about simple interest here:

https://brainly.com/question/28350785

Which system is equivalent to StartLayout Enlarged left-brace 1st row y = negative 2 x squared 2nd row y = x minus 2 EndLayout? StartLayout Enlarged left-brace 1st row y = negative 2 y squared minus 2 2nd row x = y minus 2 EndLayout StartLayout Enlarged left-brace 1st row y = negative 2 y squared + 2 2nd row x = y + 2 EndLayout StartLayout Enlarged left-brace 1st row y = negative 2 y squared minus 8 y minus 8 2nd row x = y + 2 EndLayout StartLayout Enlarged left-brace 1st row y = negative 2 y squared + 8 y minus 8 2nd row x = y minus 2 EndLayout

Answers

The system of equations that's corresponding to the given function are y = 5 - x and 5 - x = 9x².

According to the statement

We have to find that the linear equation.

So, For this purpose, we know that the

The systems of equations, sometimes called simultaneous equations, are a group of relationships between various unknown variables that can be expressed in terms of algebraic expressions.

From the given information:

Given the systems of equations;

y = 9x²

and

x + y = 5

From equation 2:

y = 5 - x

Substitute into equation 1 to have;

5 - x = 9x²

From the resulting equation, we are able to see that the system of equations that's corresponding to the given function are y = 5 - x and 5 - x = 9x².

So, The system of equations that's corresponding to the given function are y = 5 - x and 5 - x = 9x².

Learn more about systems of equations here

https://brainly.com/question/14323743

#SPJ9

Solve each equation. ln (x-7)=2

Answers

After the solving equation ln (x-7)=2, the value of x is equal to [tex]e^{2}[/tex] + 7

We have been asked to find x in ln (x-7)=2

⇒ ln (x-7)=2

⇒ x - 7 = [tex]e^{2}[/tex]

⇒ x = [tex]e^{2}[/tex] + 7

How to solve an equation?

To solve linear equations, utilize the steps that are provided below.

Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

Learn more about  linear equations

https://brainly.com/question/14323743

#SPJ4

Should I take Pre-Calculus 12 or Foundation of Math 12? PLEASE HELP ME Tell me the difference which one Is better when I graduate please help me

Answers

Answer:

honestly i say foundation of math12 ithink it will come more in handy in life

I Will Give Brainly Crown Please Help I am so stressed its A Math Question (Geometry)

Answers

[tex]sum \: of \: interior \: angles = (5 - 2)180 = 540 \\ each \: angle = \frac{540}{5} = 108 \\ x + bcd = 180 \\ x + 108 = 180 \\ x = 180 - 108 = 72[/tex]

Answer: 72

Help please with question

Answers

Answer:

a. 62

b. 8.8

c. 2.8

Step-by-step explanation:

can you mark as brainiest if correct please?

George has two routes that he likes to use for walking. He can walk 672 yards in 6 minutes on Path A, and he can walk 984 yards in 8 minutes on Path B. How many more yards per minute can George walk on Path B?

Answers

Answer:

11 more yards per minute on Path B.

Step-by-step explanation:

Path A: 672 yards in 6 minutes = 112 yards per minute.

Path B: 984 yards in 8 minutes = 123 yards per minute.

123 - 112 = 11 yards per minute longer on Path B.

Answer:

156 yards per minute

Step-by-step explanation:

first off remember to have a label

it is change in Y over change in X so

984-672/ 8-6

you could get 312/2

which equal 156

I attached a photo to make it clear

The lunch bill for Eugene and Maggie totaled $20.20. Tax
on the meal was 5% and they wanted to leave a 15% tip.
How much was the meal including tax and tip?
O $24.39
O $21.21
O $22.20
O $3.03

Answers

Correct answer is A. The cost of meal in the caffeteria is 24.39.

What percentage is it?

A percentage is a figure or ratio that represents a portion of 100. In addition to the percent symbol "%," the abbreviations "pct," "pct," and occasionally "pc" are also used to denote it. A% does not have any dimensions or a corresponding unit of measurement.

Your $20.20 bill is made up of the full amount (100%) plus the 15% tip, for a total of 115%. Decimal equivalent is 1.15.

Simply divide the entire charge by 1.15 to determine the price before the tip.

20.20/1.15 = 17.56

Consequently, the final amount due before the 15% tip was $17,56.

The total cost after tax and tip = 24.39

To learn more about Percentage click on link

https://brainly.com/question/24877689

#SPJ9


What is the coordinate of G' if triangle E'F'G' is created by dilating EFG with a factor of 4 about the origin?

Answers

The coordinate of G' if triangle E'F'G' is created by dilating EFG with a scale factor of 4 about the origin is (8, -8).

The types of transformation.

In Mathematics, there are different types of transformation and these include the following:

ReflectionRotationTranslationDilation

What is dilation?

Dilation can be defined as a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Since the dilatation was centered around the origin, then we would multiply the coordinate of G by a scale factor of 4 as follows:

G = (2, -2) → G'[(4 × 2), (4 × -2)]

G = (2, -2) → G'(8, -8)

Read more on dilation here: https://brainly.com/question/20482938

#SPJ1

Which of the choices will NOT correctly find the distance between the two points: (3, −4) and (−2, 5)?

Answers

The distance between two given points (3, −4) and (−2, 5) is √106 units.

Given that, two points are (3, −4) and (−2, 5).

What is the distance formula between two points?

Distance between two points is the length of the line segment that connects the two given points. Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates.

The formula for the distance, d, between two points whose coordinates are d=√(x2-x1)²+(y2-y1)²

Now, put two points (3, −4) and (−2, 5) in the distance formula and simplify.

That is, distance = √[(-2-3)²+(5-(-4))²]

=√(25+81)

=√106 units

Therefore, the distance between two given points (3, −4) and (−2, 5) is √106 units.

To learn more about the distance formula visit:

https://brainly.com/question/8283882.

#SPJ1

Maria made a bunch of muffins for a bake sale. She made 5 corn, 6 banana, 2 blueberry, and 10 chocolate chip. What is the ratio of bananas to total?

Answers

The answer is 6:23 because you put how many banana muffins and then them all calculated together

Eva bought 20 chicken wings for $20.00. If Eva spent $18.00, how many chicken wings did she buy?

Answers

Eva bought 18 chicken wings with $18

How to calculate the number of chicken wings that Eva bought ?

Eva bought 20 chicken wings for $20

The first step is to calculate the cost of one chicken wing

= 20/20

= 1

1 chicken wings cost $1, if Eva spent $18 then the number of chicken wings bought can be calculated as follows

= 18 × 1

= 18

Hence Eva bought 18 chicken wings with $18

Read more on cost here

https://brainly.com/question/27847276

#SPJ1  

Are they similar? Yes or no

Answers

Answer: Yes

Step-by-step explanation:

one is just bigger than the other if you blow the little one up than you can see they are the same!

Yes they are similar


Solve each equation. Check for extraneous solutions. √2 x+9 - √x=3

Answers

the extraneous solution for the equation √(2 x +9) - √x = 3 is x = 0 or x = 6.

We are given an equation:

√(2 x +9) - √x = 3

√(2 x +9) = 3 + √x

Raise both sides to the power 2, we get that:

2 x + 9 = 9 + x + 6√x

x = 6√x

Squaring both sides again, we get that:

x² = 6 x

x² - 6 x = 0

x ( x - 6) = 0

x = 0 or x = 6.

Therefore, we get that, the extraneous solution for the equation √(2 x +9) - √x = 3 is x = 0 or x = 6.

Learn more about equation here:

https://brainly.com/question/1214333

#SPJ4

A sofa is on sale for 66% off. The sale price is $231.20.

Answers

The regular price of the sofa if 66% is given off, is $680.00

What is regular price?

The regular price of the sofa is the price at which it is sold without considering the coupon of 66%, in essence, it is 100% of the original price of the sofa, in short, if 66% is given off, then the sale price is 34% of the original price

34% of regular price=$231.20

1% of regular price=231.20/34

1% of regular price=$6.80

100% of regular price=$6.80*100

100% of regular price=$680

Find out more about regular price on:brainly.com/question/4817441

#SPJ1

Full question

A sofa is on sale for 66% off. the sale price is $231.20 . what is the regular price?

:

Complete the table given the following function:


y = 3x + 1


x y Ordered Pair

1
(1, 4)

2
(2,__)
3
(___,___),(____,____)
-1
(-1,___)

Answers

Considering the numeric values of the function, the points and ordered pairs are given as follows:

x = 2, y = 7, ordered pair (2,7).x = 3, y = 10, ordered pair (3,10).x = -1, y = -2, ordered pair (-1,-2).

How to find the numeric value of a function/expression?

To find the numeric value of a function, we replace each instance of the variable by the desired value.

An ordered pair is given by:

(x, f(x)).

In which f(x) is the numeric value.

For this problem, the function is given by the following rule:

y = 3x + 1.

When x = 2, the numeric value is given by:

y = 3 x 2 + 1 = 6 + 1 = 7.

Hence the ordered pair is (2,7).

When x = 3, the numeric value is given by:

y = 3 x 3 + 1 = 9 + 1 = 10.

Hence the ordered pair is (3,10).

When x = -1, the numeric value is given by:

y = 3 x -1 + 1 = -3 + 1 = -2.

Hence the ordered pair is (-1,2).

More can be learned about the numeric values of a function at brainly.com/question/28367050

#SPJ1

each side of a square is lengthened by 2 inches. the area of this​ new, larger square is 49 square inches. find the length of a side of the original square.

Answers

Length of a side of original square = 5 inches

Let's take the value of the length of the original square be to x.

As it is known that the area of the larger square has  = 49 square inches, and the side are lengthened by 2 inches from the original square side.

So we have the expression:

[tex](x + 2)^{2}[/tex] = 49

x + 2 = 7

x= 5

Therefore the original side of the square is 5 inches.

To know more about the square refer to the link given below:

https://brainly.com/question/24487155

Please explain how.....
100 points

Answers

woah this looks hard

ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 15 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!

Answers

Answer:

D

Step-by-step explanation:

Answer:

D [tex]y = - 5 - 17[/tex]

Step-by-step explanation:

To make y the subject of formula in:

[tex]5x + y = - 17[/tex]

Mover 5x to the other side of the equation which makes it -5x due to the equality sign

Therefore:

[tex]y = - 5 - 17[/tex]

Which expression is equivalent to quantity y raised to the negative third power times z raised to the fifth power end quantity over quantity z raised to the negative fourth power times y raised to the sixth power end quantity all raised to the negative second power?

whoever gets it right gets marked branliest!!
pls pls help!!

Answers

The equivalent expression of the statement is as follows:

[tex](\frac{y^{-3} X z^{5} }{z^{-4} X y^{6} }) ^{2}[/tex]

How to find which expression is equivalent to the given expression?

The expression is as follows:

Quantity y raised to the negative third power times z raised to the fifth power end quantity over quantity z raised to the negative fourth power times y raised to the sixth power end quantity all raised to the negative second power

The equivalent expression of the statement is as follows:

[tex](\frac{y^{-3} X z^{5} }{z^{-4} X y^{6} }) ^{2}[/tex]

learn more on equivalent expression here:

brainly.com/question/2972832

#SPJ1

Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. How many liters of water remain in the tank after the following amounts of time?
a. 30 seconds
b. 7 minutes
c. t minutes

Answers

A. 80-0.5(2.5)
80-1.25
78.75 Liters
B. 80-7(2.5)
80-17.5
62.5 Liters
C. I’m not sure if I understand this part of the question. Please rephrase or fix errors in the question asked. thanks!

linda is riding her bike to the restaurant. she rides at a constant speed of 32 feet per second. the restaurant is 6271 feet from her house. let t represent the number of seconds since linda left her house and let d represent linda’s distance from the restaurant.

Answers

Solving the distance-time problem here, the taken time to reach the restaurant is 196 seconds (approx.)

This is a distance-time problem.

To solve this problem the required formula is, d/t = v or, d/v = t,

where d is the represented distance and t denotes the required time, and v is denoted as the velocity or speed.

Here v, velocity is 32 feet/second, and d, distance is 6271 feet.

So, the taken time to reach the restaurant is 6271/32 = 196 seconds (approx.)

To know more about distance-time problems, refer to the following link:

https://brainly.com/question/26608770

#SPJ4

Which is the best estimate for the value of r in the scatter plot? NEED HELP ASAP

A 0.7
B 0
C -0.5
D 1 ​

Answers

Answer:

The anwser is A

Step-by-step explanation:

A is the best anwser choice given

Other Questions
suppose you invested $6,000 and it grew by 8% every year for 5 years. how much would this investment be worth after 5 years? 1. $0.02 2. $8,815.963. $48,0004. $8,864.73 Social and economic similarities and differences existed between the New England, Middle Colonies, and Southern colonies during the 17th century. How did the development of the New England colonies (Massachusetts Bay Colony and Plymouth) differ from the development of English colonies in the Chesapeake, Middle Colonies, and Carolinas? Can somebody help me if you know what this is To divide 1.89 0.9, we need to change it. Choose the correct problem below to show what the new look would be.18.9 0.91.89 9189 918.9 9 Which of the following statements is true concerning diabetes?A. Type 1 diabetes develops with the body doesn't make insulin or use it properly inthe bodyB. Type 2 diabetes is often linked to obesity and presents itself when body cellsstop responding properly to insulinC. People who have diabetes can usually manage and control it with a healthy diet,exercise and insulin injectionsD. All the above complete the sentences using homophones:1. watch the____________ bulletin to find out _______________the ____________ tomorrow is going to be pleasant2. they were about 100 people Trapped In The Cole mine. every other_______ in the country went on strike and it is not a ______ matter Help please I need help whats an organelle containing the digestive enzymes If Grendel were to give a similar speech to Frankenstein's monster, what would he say to Hrothgar (the Thane/King)? Write the speech as you think Grendel would say it. Escoge la mejor opcin para completar la frase con la forma correcta del verbo conocer. Choose the best option to complete the sentence with the correct form of the verb conocer.Los nios ________ a sus abuelos en Colombia el ao pasado.conocan conocen conoceran conocieron what is the unit rate for 7 penguins for 188.88$ What is the answer to 811.4 + 215.5=? What is the simplified form of (a/ b/)?(A) a/ b/ (B) a/ b/ (C) a b (D) (a b)/ help me pleaseeeeeeee Suppose you want to investigate whether the type of musicstudents listen to while studying can affect their testscores.Which statement represents a valid hypothesis about music and studying?OA. If you listen to calming music while you study, then you are morelikely to feel calm during the test.B. Does the type of music played while studying affect testperformance?C. Students who listen to music with faster beats while studyingperform better on tests.D. Most people prefer pop or jazz music when studying for a test. Which statements describe supporters of the New Jersey Plan? Choose two correct answers.They thought that each state should have equal representation in Congress.They thought that the largest states should have the most say in the new government.They believed that the United States had been created by the states rather than the people.They wanted the new national government to have a bicameral legislature.They feared that the voices of the people would get lost if states were given too much power. Fill in the blank question.Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the nearest tenth if necessary. Which of the following is the most appropriate term for the study of human activity in the past? How can governor improve the state??? Which best compares the authors' purposes in Silent Springand "A Case for Waawaatesi"?O Both authors want readers to protect human rights.Both authors want readers to focus on saving trees.Both authors intend to entertain readers with their essays.Both authors intend to convince readers of their viewpoint.